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20701716 = 223721719109
BaseRepresentation
bin100111011111…
…0001000010100
31102221202102020
41032332020110
520244423331
62015413140
7340650600
oct116761024
942852366
1020701716
111075a562
126b241b0
13439a949
142a6c500
151c3dc96
hex13be214

20701716 has 144 divisors (see below), whose sum is σ = 63201600. Its totient is φ = 5225472.

The previous prime is 20701711. The next prime is 20701717. The reversal of 20701716 is 61710702.

It is a super-2 number, since 2×207017162 = 857122090689312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20701711) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189870 + ... + 189978.

It is an arithmetic number, because the mean of its divisors is an integer number (438900).

Almost surely, 220701716 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20701716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31600800).

20701716 is an abundant number, since it is smaller than the sum of its proper divisors (42499884).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20701716 is a wasteful number, since it uses less digits than its factorization.

20701716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 24.

The square root of 20701716 is about 4549.9138453382. The cubic root of 20701716 is about 274.5799250344.

The spelling of 20701716 in words is "twenty million, seven hundred one thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 17 19 21 28 34 38 42 49 51 57 68 76 84 98 102 109 114 119 133 147 196 204 218 228 238 266 294 323 327 357 399 436 476 532 588 646 654 714 763 798 833 931 969 1292 1308 1428 1526 1596 1666 1853 1862 1938 2071 2261 2289 2499 2793 3052 3332 3706 3724 3876 4142 4522 4578 4998 5341 5559 5586 6213 6783 7412 8284 9044 9156 9996 10682 11118 11172 12426 12971 13566 14497 15827 16023 21364 22236 24852 25942 27132 28994 31654 32046 35207 38913 43491 47481 51884 57988 63308 64092 70414 77826 86982 90797 94962 101479 105621 140828 155652 173964 181594 189924 202958 211242 246449 272391 304437 363188 405916 422484 492898 544782 608874 739347 985796 1089564 1217748 1478694 1725143 2957388 3450286 5175429 6900572 10350858 20701716